17117057873 has 2 divisors, whose sum is σ = 17117057874. Its totient is φ = 17117057872.

The previous prime is 17117057843. The next prime is 17117057911. The reversal of 17117057873 is 37875071171.

17117057873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15251509009 + 1865548864 = 123497^2 + 43192^2 .

It is a cyclic number.

It is not a de Polignac number, because 17117057873 - 2⁶ = 17117057809 is a prime.

It is not a weakly prime, because it can be changed into another prime (17117057813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8558528936 + 8558528937.

It is an arithmetic number, because the mean of its divisors is an integer number (8558528937).

Almost surely, 2^17117057873 is an apocalyptic number.

It is an amenable number.

17117057873 is a deficient number, since it is larger than the sum of its proper divisors (1).

17117057873 is an equidigital number, since it uses as much as digits as its factorization.

17117057873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288120, while the sum is 47.

The spelling of 17117057873 in words is "seventeen billion, one hundred seventeen million, fifty-seven thousand, eight hundred seventy-three".